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Inscribe Angles that Intercept the Same Arc

Topic:
Angles

Objective

The objective of this activity is to derive a conclusion on inscribed angles that intercept the same arc.
Instructions: 1. Given points A, B, C, and D on circle O. Consider the arc AB. 2. Form angle ACB where C is its vertex and segments AC and BC as its sides. 3. Form angle ADB where D is its vertex and segments AD and BD as its sides. 4. Get the measure of angles ACB and ADB. 5. Answer the follow-up questions.

What do you observe with angles ACB and ADB?

Try moving points of angles ACB and ADB. Which of your observations remains the same?

Based on your observations on angles ACB and ADB, what can you conclude with inscribed angles intersecting the same arc?